Monotone Circuits for Matching Require Linear Depth

We prove that monotone circuits computing the perfect matching function on n-vertex graphs require (n) depth. This implies an exponential gap between the depth of monotone and nonmonotone circuits.

• Type: Conference
• Year: 1990
• Where: STOC
• Authors: Ran Raz, Avi Wigderson
• Keywords: Algorithms, Exponential Gap, Monotone Circuits, Perfect Matching Function, STOC 1990